数学高手,请写出详细解析,谢谢!已知函数f(X)=Xlnx-ax+1,X∈[1,+∝),g(X)={x}^{2}-2X,(1)讨论函数f(X)的单调区间(2)若对任意的x1∈[1,+∝),总存在x2∈(-∝,a]使f(x1))≥g(x2)成立,求a的取值范围.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/16 22:27:09
![数学高手,请写出详细解析,谢谢!已知函数f(X)=Xlnx-ax+1,X∈[1,+∝),g(X)={x}^{2}-2X,(1)讨论函数f(X)的单调区间(2)若对任意的x1∈[1,+∝),总存在x2∈(-∝,a]使f(x1))≥g(x2)成立,求a的取值范围.](/uploads/image/z/10746673-25-3.jpg?t=%E6%95%B0%E5%AD%A6%E9%AB%98%E6%89%8B%2C%E8%AF%B7%E5%86%99%E5%87%BA%E8%AF%A6%E7%BB%86%E8%A7%A3%E6%9E%90%2C%E8%B0%A2%E8%B0%A2%21%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28X%29%3DXlnx-ax%2B1%2CX%E2%88%88%5B1%2C%2B%E2%88%9D%29%2Cg%28X%29%3D%7Bx%7D%5E%7B2%7D-2X%2C%EF%BC%881%EF%BC%89%E8%AE%A8%E8%AE%BA%E5%87%BD%E6%95%B0f%28X%29%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4%EF%BC%882%EF%BC%89%E8%8B%A5%E5%AF%B9%E4%BB%BB%E6%84%8F%E7%9A%84x1%E2%88%88%5B1%2C%2B%E2%88%9D%29%2C%E6%80%BB%E5%AD%98%E5%9C%A8x2%E2%88%88%28-%E2%88%9D%2Ca%5D%E4%BD%BFf%28x1%29%EF%BC%89%E2%89%A5g%28x2%29%E6%88%90%E7%AB%8B%2C%E6%B1%82a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4.)
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